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## Arithmetic

Here’s and example of a SMART MATH problem for ARITHMETIC.

### Problem

How many integer solutions exists for the equation $\left| y-\sqrt{(y+2)^{2}-9} \right|=5$?

1. 0
2. 1
3. 2
4. 3
5. 4

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Here’s and example of a SMART MATH problem for ARITHMETIC.

### Problem

Simplify $\frac{\sqrt{11+4\sqrt{7}}+\sqrt{8+\sqrt{64}}}{\sqrt{11-4\sqrt{6}}}$

1. $\frac{2\sqrt{14}+12\sqrt{2}+\sqrt{21}-6\sqrt{3}}{5}$
2. $\frac{2\sqrt{14}+12\sqrt{2}-\sqrt{21}+6\sqrt{3}}{5}$
3. $\frac{2\sqrt{14}-12\sqrt{2}-\sqrt{21}+6\sqrt{3}}{5}$
4. $\frac{2\sqrt{14}-12\sqrt{2}+\sqrt{21}-6\sqrt{3}}{5}$
5. $\frac{2\sqrt{14}+12\sqrt{2}+\sqrt{21}+6\sqrt{3}}{5}$

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Here’s and example of a SMART MATH problem for ARITHMETIC.

### Problem

What is

$(3333)_{10}$

written in the base system in which $(6822)_{10}$ is written as 5142?

1. 2560
2. 4320
3. 1220
4. 7986
5. 3454

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Here’s and example of a SMART MATH problem for ARITHMETIC.

### Problem

The sum of 5 successive number is 100. What is the product of the first and last number?

1. 246
2. 282
3. 396
4. 484
5. 555

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Here’s and example of a SMART MATH problem for ARITHMETIC.

### Problem

Find the smallest from: $\frac{3}{7}$, $\frac{7}{20}$, $\frac{13}{25}$, $\frac{11}{20}$ and $\frac{15}{23}$.

1. $\frac{3}{7}$
2. $\frac{7}{20}$
3. $\frac{13}{25}$
4. $\frac{11}{20}$
5. $\frac{15}{23}$

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Here’s and example of a SMART MATH problem for ARITHMETIC.

### Problem

Find the LCM of $\frac{4}{5}$, $\frac{3}{4}$ and $\frac{5}{7}$.

1. $\frac{5}{12}$
2. 1
3. 20
4. 60
5. $\frac{60}{7}$

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Here’s and example of a SMART MATH problem for ARITHMETIC.

### Problem

Find the sum of reciprocal of two numbers whose sum is 12 and product is 32.

1. $\frac{5}{3}$
2. $\frac{8}{3}$
3. 3
4. $\frac{3}{8}$
5. 8

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Here’s and example of a SMART MATH problem for ARITHMETIC.

### Problem

$\frac{\sqrt{6}+\sqrt{7}}{\sqrt{5}-\sqrt{6}}=$?

1. $6+\sqrt{30}+\sqrt{35}+\sqrt{42}$
2. $6-\sqrt{30}+\sqrt{35}+\sqrt{42}$
3. $6+\sqrt{30}-\sqrt{35}+\sqrt{42}$
4. $6-\sqrt{30}-\sqrt{35}-\sqrt{42}$
5. $6+\sqrt{30}+\sqrt{35}-\sqrt{42}$

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Here’s and example of a SMART MATH problem for ARITHMETIC.

### Problem

$\frac{4}{4+\frac{0.4-4.04}{4\times 0.91}}=?$
1. 1.3
2. 3.7
3. 16
4. 4.5
5. 5.6

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Here’s and example of a SMART MATH problem for ARITHMETIC.

### Problem

The sum of cubes of three numbers is 8072 and the ratio of the first to the second as also the second to the third is 3 : 2. What is the second number?

1. 2
2. 4
3. 6
4. 9
5. 12

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